Physics Elasticity ( Mechanical Properties of Solids ) Young’s Modulus and Breaking Stress Single Correct MCQ
Published on: September 12, 2026

If a spring is extended to length l, then according to Hook's law

(a) $\mathrm{F} = k l$ (b) $\mathrm{F} = \frac{k}{l}$ (c) $\mathrm{F} = k^{2} l$ (d) $\mathrm{F} = \frac{k^{2}}{l}$

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Text Solution

Verified by Experts
The correct answer is:
A
According to Hook's Law, the force exerted by a spring is directly proportional to the displacement from its equilibrium position. The law is mathematically expressed as:
$$ F = kx $$
where:
- F is the force applied on the spring,
- k is the spring constant (a measure of the stiffness of the spring),
- x is the displacement from the original length.
In this case, if the spring is extended to a length \( l \), we can assume \( x = l \). Therefore, substituting \( x \) into the formula gives us:
$$ F = kl $$
This corresponds to option (A) in the provided choices.
Therefore, the correct answer is A.

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